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If solubility product of Zr(3)(PO(4))(4)...

If solubility product of `Zr_(3)(PO_(4))_(4)` is denotes by `K_(sp)` and its molar solubility is denoted by S, then which of the following relation between S and `K_(sp)`­ is correct ?

A

`S=((K_(sp))/(6912))^(1//7)`

B

`S=((K_(sp))/(929))^(1//9)`

C

`S=((K_(sp))/(216))^(1//7)`

D

`S=((K_(sp))/(144))^(1//6)`

Text Solution

Verified by Experts

The correct Answer is:
A
`Zr_(3)(PO_(4))_(4)hArr underset(3s)(3Zr^(4+))+underset(4s)(4PO_(4)^(3-))`
`K_(sp)=(3s)^(3)(4s)^(4)`
= `27xx256s^(7) implies 6912 s^(7)`
`S=((K_(sp))/(6912))^(1//7)`
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